[計量] GWD-18
GWD-18
Q6.
The function f is defined for each positive three-digit integer n
by f(n) = 2^x3^y5^z, where w, y, and z are the hundreds, tens, and units
digits of n, respectively. If m and v are three-digit positive integers
such that f(m) = 9f(v), then m-v = ?
Q13.
Each of 20 parents chose one of five days from Monday through Friday to
attend parent-teacher conferences. If more parents chose Monday than
Tuesday, did at least one of the parents choose Friday?
(1) None of the five days was chosen by more than 5 parents.
(2) More parents chose Monday than Wednesday.
Q18.
A certain characteristic in a large population has a distribution that
is symmetric about the mean m. If 68 percent of the distribution lies whinin
one standard deviation d of the mean, what percent of the distribution is
less than m+d ?
Q23.
The toll for crossing a certain bridge is $0.75 each crossing. Drivers who
frequently use the bridge may instead purchase a sticker each month for
$13.00 and then pay only $0.30 each crossing during that month. If a
particular driver will cross the bridge twice on each of x days next month
and will not cross the bridge on any other bridge on any other day, what
is the least value of x for which this driver can save money by using the
stickers?
Q24.
The positive numbers w,x,y,and z are such that x is 20 percent greater than
y, y is 20 percent greater than z, and w is 20 percent less than x. What
percent greater than z is w ?
Q30.
From May 1 to May 30 in the same year, the balance in a checking account
increased. What was the balance in the checking account on May 30?
(1) If, during this period of time, the increase in the balance in the
checking account had been 12 percent, then the balance in the account
on May 30 would have been $504.
(2) During this period of time, the increase in the balance in the checking
account was 8 percent.
QX.
If the probability is o.54 that Stock A will increase in value during the
next month and the probalbility is 0.68 that Stock B will increase in value
during the next month, what is the greatest possible value for the
probability that neither of these two events will occur?
拜託大家了Orz
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